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Finding the Fourth Proportional to 9,087, 13,630.50 and 3,618.84

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Solution

The fourth proportional to 9,087, 13,630.50 and 3,618.84 is: 5,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087 : 13,630.50 = 3,618.84 : x
  2. Step 2: Convert to fraction form
    9,087/13,630.50 = 3,618.84/x
  3. Step 3: Cross multiply
    9,087x = 13,630.50 × 3,618.84
  4. Step 4: Simplify right side
    9,087x = 49,326,598.62
  5. Step 5: Solve for x
    x = 49,326,598.62/9,087
  6. Step 6: Final answer
    x = 5,428.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.